Pith Number

pith:27M4HWMD

pith:2026:27M4HWMDFVVV4KXLRAYLWI2OHU

not attested not anchored not stored refs pending

Current and future constraints on the expansion history of the GREA model

Chiara De Leo, Irene Graziotti, Matteo Martinelli

arxiv:2603.01934 v2 · 2026-03-02 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27M4HWMDFVVV4KXLRAYLWI2OHU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-10T01:18:58.618840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d9c3d9832d6b5e2aeb8830bb234e3d1c708a62475521214beeb8a1c67a4ec2

Aliases

arxiv: 2603.01934 · arxiv_version: 2603.01934v2 · doi: 10.48550/arxiv.2603.01934 · pith_short_12: 27M4HWMDFVVV · pith_short_16: 27M4HWMDFVVV4KXL · pith_short_8: 27M4HWMD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/27M4HWMDFVVV4KXLRAYLWI2OHU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d7d9c3d9832d6b5e2aeb8830bb234e3d1c708a62475521214beeb8a1c67a4ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6816bb7849a13de1def134002009f2c6041cb0536101a9d26ccd13185ecc770a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-02T14:51:49Z",
    "title_canon_sha256": "1774234977fe46530b757b03f4c237743a0d2d905341054e7546f6b0c0c5437f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.01934",
    "kind": "arxiv",
    "version": 2
  }
}